Posted by **Kestrel** on Sunday, October 23, 2011 at 12:50am.

Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 has 2 zeros

- Math -
**Jai**, Sunday, October 23, 2011 at 2:18am
recall that the formula for discriminant:

D = b^2 - 4ac

if

D < 0 : two imaginary roots

D = 0 : one root

D > 0 : two real roots

thus, given the equation, we can substitute the values of a, b and c in the discriminant, which must be > 0:

(2k - 3)^2 - 4(4)(1) > 0

4k^2 - 12k + 9 - 16 > 0

4k^2 - 12k - 7 > 0

(2k - 7)(2k + 1) > 0

these are the ranges of values:

k > 7/2

k < -1/2

hope this helps~ :)

## Answer This Question

## Related Questions

- math - Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has ...
- math - Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has ...
- math - Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 has ...
- Math - For what values of k will the functon f(x)=kx^2-4x+k have no zeros ...
- math grade 11 - I need help with this question determine the values in k for ...
- math grade 11 - I need help with this question determine the values in k for ...
- Math - For what values of k does the function f(x)=(k+1)x^2+2kx+k-1 have no ...
- math grade 11 - Determine the value of k for which the function f(x)= 4x^2- 3x+...
- Math - determine the value of k for which the fuction f(x)=4x^2-3x+2kx+1 has 2 ...
- Math - Find the Zeros of the following functions f(x) = x/3 +5 ^ That one is ...

More Related Questions